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681123607575 = 35219598397607
BaseRepresentation
bin10011110100101100010…
…00010111010000010111
32102010002200020022022120
421322112020113100113
542124420120420300
61240523122431023
7100131610065315
oct11722610272027
92363080208276
10681123607575
11242954579684
12b000ab02473
134c2ca7ba478
1424d763450b5
1512ab6cd73a0
hex9e96217417

681123607575 has 96 divisors (see below), whose sum is σ = 1220021913600. Its totient is φ = 334234177920.

The previous prime is 681123607573. The next prime is 681123607603. The reversal of 681123607575 is 575706321186.

It is not a de Polignac number, because 681123607575 - 21 = 681123607573 is a prime.

It is a super-4 number, since 4×6811236075754 (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681123607573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6929422 + ... + 7027028.

It is an arithmetic number, because the mean of its divisors is an integer number (12708561600).

Almost surely, 2681123607575 is an apocalyptic number.

681123607575 is a deficient number, since it is larger than the sum of its proper divisors (538898306025).

681123607575 is a wasteful number, since it uses less digits than its factorization.

681123607575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97781 (or 97776 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 681123607575 in words is "six hundred eighty-one billion, one hundred twenty-three million, six hundred seven thousand, five hundred seventy-five".

Divisors: 1 3 5 15 19 25 57 59 75 83 95 177 249 285 295 415 475 885 1121 1245 1425 1475 1577 2075 3363 4425 4731 4897 5605 6225 7885 14691 16815 23655 24485 28025 39425 73455 84075 93043 97607 118275 122425 279129 292821 367275 465215 488035 1395645 1464105 1854533 2326075 2440175 5563599 5758813 6978225 7320525 8101381 9272665 17276439 24304143 27817995 28794065 40506905 46363325 86382195 109417447 121520715 139089975 143970325 153926239 202534525 328252341 431910975 461778717 477981479 547087235 607603575 769631195 1433944437 1641261705 2308893585 2389907395 2735436175 3848155975 7169722185 8206308525 9081648101 11544467925 11949536975 27244944303 35848610925 45408240505 136224721515 227041202525 681123607575